Introduction to solving plane geometry:
Geometry is one of the important parts of mathematics deals with properties of shape of geometric objects. Geometry used to say all kinds of shapes and their properties. There are two major classifications in geometry. They are Plane geometry and Solid geometry. Shapes that are drawn at flat surface are called Plane and the study about this is called Plane geometry. Plane geometry is about the shapes of lines, circles, etc. Plane geometry is study about two-dimensional objects.
Problems on Solving Plane Geometry:
Problem 1:
Solving the area of the triangle with the base of 7cm and the height is 10cm.
Solution:
Given: Base = 7cm
Height = 10cm
Area = (b * h) / 2
= (7 * 10) / 2
= 70 / 2
= 35 cm^2
Problem 2:
Solving the area of the circle with 10.5cm radius.
Solution:
Given: Radius = 10.5cm
Area of the circle =`pi` r2
= 3.14 * 10.5 * 10.5
= 346.18cm^2
Problem 3:
Solving the area of the trapezoid whose length is 10 cm, the width is 5cm and the height is 10 cm.
Solution:
Given: Length = 10cm
Width = 5cm
Height = 10cm
Area = h (l + w) / 2
= 10 (10+5) / 2
= 150 / 2
= 75cm3
Problem 4:
Solving the area of the rectangle with length 6.5cm and width 3.5cm. Also find its perimeter.
Solution:
Given: Length = 6.5cm
Width = 3.5cm
Area = L * W
= 6.5 * 3.5
= 22.75cm^2
Perimeter = Sum of all sides
= 2L + 2W
= 2 * 6.5 + 2 * 3.5
= 13 + 7
= 20cm^2
Problem 5:
Solving the area and perimeter of the parallelogram whose Height 12 cm, length 14cm, width 16cm.
Solution:
Given: Length = 14cm
Width = 16cm
Height = 12cm
Area = L * W
= 14 * 16
= 224cm^2
Perimeter = Sum of all sides
= L + W + H
= 14+16+12
= 42cm3
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Practice Problems on Solving Plane Geometry:
1. Find the area of the trapezoid whose length is 3 cm, the width is 1.5cm and the height is 5cm.
Answer: 11.25cm^3
2. Find the area of the circle with 0.5cm radius.
Answer: 0.785cm^2
3. Calculate the area and perimeter of the rectangle whose length is 2cm, width is 2.5cm.
Answer: Area = 5cm^2
Perimeter = 9cm^2
Geometry is one of the important parts of mathematics deals with properties of shape of geometric objects. Geometry used to say all kinds of shapes and their properties. There are two major classifications in geometry. They are Plane geometry and Solid geometry. Shapes that are drawn at flat surface are called Plane and the study about this is called Plane geometry. Plane geometry is about the shapes of lines, circles, etc. Plane geometry is study about two-dimensional objects.
Problems on Solving Plane Geometry:
Problem 1:
Solving the area of the triangle with the base of 7cm and the height is 10cm.
Solution:
Given: Base = 7cm
Height = 10cm
Area = (b * h) / 2
= (7 * 10) / 2
= 70 / 2
= 35 cm^2
Problem 2:
Solving the area of the circle with 10.5cm radius.
Solution:
Given: Radius = 10.5cm
Area of the circle =`pi` r2
= 3.14 * 10.5 * 10.5
= 346.18cm^2
Problem 3:
Solving the area of the trapezoid whose length is 10 cm, the width is 5cm and the height is 10 cm.
Solution:
Given: Length = 10cm
Width = 5cm
Height = 10cm
Area = h (l + w) / 2
= 10 (10+5) / 2
= 150 / 2
= 75cm3
Problem 4:
Solving the area of the rectangle with length 6.5cm and width 3.5cm. Also find its perimeter.
Solution:
Given: Length = 6.5cm
Width = 3.5cm
Area = L * W
= 6.5 * 3.5
= 22.75cm^2
Perimeter = Sum of all sides
= 2L + 2W
= 2 * 6.5 + 2 * 3.5
= 13 + 7
= 20cm^2
Problem 5:
Solving the area and perimeter of the parallelogram whose Height 12 cm, length 14cm, width 16cm.
Solution:
Given: Length = 14cm
Width = 16cm
Height = 12cm
Area = L * W
= 14 * 16
= 224cm^2
Perimeter = Sum of all sides
= L + W + H
= 14+16+12
= 42cm3
Between, if you have problem on these topics geometric probability formula, please browse expert math related websites for more help on math word problem solver online.
Practice Problems on Solving Plane Geometry:
1. Find the area of the trapezoid whose length is 3 cm, the width is 1.5cm and the height is 5cm.
Answer: 11.25cm^3
2. Find the area of the circle with 0.5cm radius.
Answer: 0.785cm^2
3. Calculate the area and perimeter of the rectangle whose length is 2cm, width is 2.5cm.
Answer: Area = 5cm^2
Perimeter = 9cm^2
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